Validity of heavy traffic steady-state approximations in generalized Jackson networks
暂无分享,去创建一个
[1] John Frank Charles Kingman,et al. The single server queue in heavy traffic , 1961, Mathematical Proceedings of the Cambridge Philosophical Society.
[2] J. Kingman. On Queues in Heavy Traffic , 1962 .
[3] P. Billingsley,et al. Convergence of Probability Measures , 1970, The Mathematical Gazette.
[4] J. Harrison. The heavy traffic approximation for single server queues in series , 1973, Journal of Applied Probability.
[5] P. Major,et al. An approximation of partial sums of independent RV's, and the sample DF. II , 1975 .
[6] J. Harrison,et al. Reflected Brownian Motion on an Orthant , 1981 .
[7] Martin I. Reiman,et al. Open Queueing Networks in Heavy Traffic , 1984, Math. Oper. Res..
[8] Ruth J. Williams,et al. Multidimensional Reflected Brownian Motions Having Exponential Stationary Distributions , 1987 .
[9] Ruth J. Williams,et al. Brownian Models of Open Queueing Networks with Homogeneous Customer Populations , 1987 .
[10] Lajos Horváth,et al. Invariance Principles for Renewal Processes , 1987 .
[11] K. Sigman. The stability of open queueing networks , 1990 .
[12] Wladyslaw Szczotka,et al. Exponential approximation of waiting time and queue size for queues in heavy traffic , 1990, Advances in Applied Probability.
[13] Hong Chen,et al. Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations , 1991, Math. Oper. Res..
[14] Hong Chen,et al. Stochastic discrete flow networks : diffusion approximations and bottlenecks , 1991 .
[15] J. Harrison,et al. Reflected Brownian Motion in an Orthant: Numerical Methods for Steady-State Analysis , 1992 .
[16] A. Mandelbaum,et al. Regenerative closed queueing networks , 1992 .
[17] John N. Tsitsiklis,et al. Optimization of multiclass queuing networks: polyhedral and nonlinear characterizations of achievable performance , 1994 .
[18] Lajos Horváth,et al. Strong Approximations of Open Queueing Networks , 1992, Math. Oper. Res..
[19] Richard L. Tweedie,et al. Markov Chains and Stochastic Stability , 1993, Communications and Control Engineering Series.
[20] S. Sushanth Kumar,et al. Performance bounds for queueing networks and scheduling policies , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.
[21] Sean P. Meyn,et al. Stability of queueing networks and scheduling policies , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.
[22] Ruth J. Williams,et al. Lyapunov Functions for Semimartingale Reflecting Brownian Motions , 1994 .
[23] Ruth J. Williams. Semimartingale reflecting Brownian motions in the orthant , 1995 .
[24] J. Dai. On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models , 1995 .
[25] Sean P. Meyn,et al. Stability and convergence of moments for multiclass queueing networks via fluid limit models , 1995, IEEE Trans. Autom. Control..
[26] P. Kumar,et al. The throughput of irreducible closed Markovian queueing networks: functional bounds, asymptotic loss, efficiency, and the Harrison-Wein conjectures , 1997 .
[27] Sean P. Meyn,et al. Piecewise linear test functions for stability and instability of queueing networks , 1997, Queueing Syst. Theory Appl..
[28] Kurt Majewski. Heavy traffic approximations of large deviations of feedforward queueing networks , 1998, Queueing Syst. Theory Appl..
[29] Ann Appl,et al. On the Positive Harris Recurrence for Multiclass Queueing Networks: a Uniied Approach via Uid Limit Models , 1999 .
[30] Dimitris Bertsimas,et al. Optimization of Multiclass Queueing Networks with Changeover Times Via the Achievable Region Approach: Part I, the Single-Station Case , 1999 .
[31] J. Tsitsiklis,et al. Performance of Multiclass Markovian Queueing Networks Via Piecewise Linear Lyapunov Functions , 2001 .
[32] Hong Chen,et al. The Finite Element Method for Computing the Stationary Distribution of an SRBM in a Hypercube with Applications to Finite Buffer Queueing Networks , 2002, Queueing Syst. Theory Appl..
[33] F. Baccelli,et al. Moments and tails in monotone-separable stochastic networks , 2004, math/0405281.
[34] D. Yao,et al. Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization , 2001, IEEE Transactions on Automatic Control.
[35] A. Stolyar. On the Stability of Multiclass Queueing Networks: A Relaxed SuÆcient Condition via Limiting Fluid Processes , .